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A total of 418 apartments are available in three new Manhattan skyscrapers through the city housing lottery. The apartments are in Chelsea, the Financial District, and Hell's Kitchen, and are set aside for people at a variety of incomes, with rents starting at $613 a month.

In Chelsea, there are 63 units in 515 West 36th St., a 38-story, 251-apartment building. The lottery apartments are studios and one and two bedrooms, and they are allocated for people in two income bands. One is households making $26,720-$57,240 a year, with rents beginning at $613 a month, for studios. The second is households making $79,783-$124,020, with rents starting at $2,116 a month, also for studios.

The building has an attended lobby, and a gym, a lounge, and a roof deck that are accesible for an additional fee. The tower is part of the rising Hudson Yards mega-development on the far West Side. It's between 10th and 11th avenues, six blocks from Penn Station. It is reportedly going to have retail on the first three floors.

Full income eligibility and rent details are here:

In Hell's Kitchen, 258 apartments are reserved for lottery applicants in 606 West 57th St., a massive new building that takes up much of the block between 11th and 12th avenues, and is reported to be the second-largest residential building in the city, after the nearby Sky complex. The apartments are studios and one, two, and three bedrooms, reserved for households making $22,903-$66,420 a year and $68,709-$132,840 a year. Studios for the lower income band will rent for $613 a month, and those for the higher band will go for $1,949 a month.

The building has an attended lobby, terraces, a gym, a laundry room, a basketball court, bike storage, party rooms, a kids playroom, a lounge, and a movie screening room. Some of those amenities will be subject to additional fees. The building is five blocks from Columbus Circle.

The building is described as having a concierge, a gym, a lounge, a kids playroom, and bike storage, with fees applying to the amenities. It's directly above the Fulton Street A, C, J, Z, 2, 3, 4 and 5 stop, and five blocks from Wall Street.

Income and rent information is here:

If you're interested and think you might qualify for one of these buildings, you can create a profile and apply online via NYC Housing Connect. Don't apply more than once, or you could be disqualified.

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